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157348992 = 273593691
BaseRepresentation
bin10010110000011…
…11010010000000
3101222002011020110
421120033102000
5310240131432
623340311320
73620305263
oct1130172200
9358064213
10157348992
1180901699
1244842540
13267a2c18
1416c7ccda
15dc31dcc
hex960f480

157348992 has 64 divisors (see below), whose sum is σ = 419268960. Its totient is φ = 52285440.

The previous prime is 157348979. The next prime is 157348999. The reversal of 157348992 is 299843751.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (157348999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227367 + ... + 228057.

Almost surely, 2157348992 is an apocalyptic number.

157348992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209634480).

157348992 is an abundant number, since it is smaller than the sum of its proper divisors (261919968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157348992 is an equidigital number, since it uses as much as digits as its factorization.

157348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 157348992 is about 12543.8826525123. The cubic root of 157348992 is about 539.8685002160.

The spelling of 157348992 in words is "one hundred fifty-seven million, three hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 593 691 1186 1382 1779 2073 2372 2764 3558 4146 4744 5528 7116 8292 9488 11056 14232 16584 18976 22112 28464 33168 37952 44224 56928 66336 75904 88448 113856 132672 227712 265344 409763 819526 1229289 1639052 2458578 3278104 4917156 6556208 9834312 13112416 19668624 26224832 39337248 52449664 78674496 157348992